Abstract
An equation for spin 1/2+ and 3/2+ fermions interacting with a 27-plet of gravitational mesons is derived by the confluence method in the framework of non-linear quark theory of elementary particles. The case of spin 1/2+ baryons is examined in detail, and the equation for the baryon octet is derived in the form of an equation for a spinor field in curved space (the Fok-Ivanenko equation). An effective metric is defined by means of the 27-plet of gravitational mesons.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 7–11, April, 1973.
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Kurdgelaidze, D.F., Funke, K. Non-linear quark theory of spin 2 fields (gravitational mesons). II. Soviet Physics Journal 16, 447–450 (1973). https://doi.org/10.1007/BF00890821
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DOI: https://doi.org/10.1007/BF00890821